若直线L过点M(a,3),N(1,2),求直线的斜率并判断直线L的倾斜角是锐角还是钝角?

问题描述:

若直线L过点M(a,3),N(1,2),求直线的斜率并判断直线L的倾斜角是锐角还是钝角?

equation of line passing throught MN
(y-2)/(x-1) = (a-2)/(3-1)
2(y-2) = (a-2)(x-1)
y = [(a-2)/2] x + (2- a)/2
斜率 = (a-2)/2
if (a-2)/2 >0
a> 2 ,倾斜角是锐角
a